Search a number
-
+
10000313031413 is a prime number
BaseRepresentation
bin1001000110000110000100…
…0110110001101011110101
31022102000120000020220012102
42101201201012301223311
52302321120114001123
633134025210231445
72051333036150315
oct221414106615365
938360500226172
1010000313031413
113206121aa9171
121156164725585
13577043c69903
14268036935445
151251e7678028
hex918611b1af5

10000313031413 has 2 divisors, whose sum is σ = 10000313031414. Its totient is φ = 10000313031412.

The previous prime is 10000313031343. The next prime is 10000313031463. The reversal of 10000313031413 is 31413031300001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9999774466564 + 538564849 = 3162242^2 + 23207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000313031413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000313031463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000156515706 + 5000156515707.

It is an arithmetic number, because the mean of its divisors is an integer number (5000156515707).

Almost surely, 210000313031413 is an apocalyptic number.

It is an amenable number.

10000313031413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000313031413 is an equidigital number, since it uses as much as digits as its factorization.

10000313031413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10000313031413 its reverse (31413031300001), we get a palindrome (41413344331414).

The spelling of 10000313031413 in words is "ten trillion, three hundred thirteen million, thirty-one thousand, four hundred thirteen".